Feasibility conditions on the parameters of a strongly regular graph

Detalhes bibliográficos
Autor(a) principal: Martins, Enide Andrade
Data de Publicação: 2011
Outros Autores: Mano, Vasco Moço, Vieira, Luís António de Almeida
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/6757
Resumo: We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.
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spelling Feasibility conditions on the parameters of a strongly regular graphStrongly regular graphEuclidean Jordan algebraMatrix analysisWe consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.Elsevier2012-02-22T13:00:02Z2011-01-01T00:00:00Z2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/6757eng1571-065310.1016/j.endm.2011.10.002Martins, Enide AndradeMano, Vasco MoçoVieira, Luís António de Almeidainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:08:35Zoai:ria.ua.pt:10773/6757Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:43:37.170540Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Feasibility conditions on the parameters of a strongly regular graph
title Feasibility conditions on the parameters of a strongly regular graph
spellingShingle Feasibility conditions on the parameters of a strongly regular graph
Martins, Enide Andrade
Strongly regular graph
Euclidean Jordan algebra
Matrix analysis
title_short Feasibility conditions on the parameters of a strongly regular graph
title_full Feasibility conditions on the parameters of a strongly regular graph
title_fullStr Feasibility conditions on the parameters of a strongly regular graph
title_full_unstemmed Feasibility conditions on the parameters of a strongly regular graph
title_sort Feasibility conditions on the parameters of a strongly regular graph
author Martins, Enide Andrade
author_facet Martins, Enide Andrade
Mano, Vasco Moço
Vieira, Luís António de Almeida
author_role author
author2 Mano, Vasco Moço
Vieira, Luís António de Almeida
author2_role author
author
dc.contributor.author.fl_str_mv Martins, Enide Andrade
Mano, Vasco Moço
Vieira, Luís António de Almeida
dc.subject.por.fl_str_mv Strongly regular graph
Euclidean Jordan algebra
Matrix analysis
topic Strongly regular graph
Euclidean Jordan algebra
Matrix analysis
description We consider a strongly regular graph, G, and associate a three dimensional Euclidean Jordan algebra, V, to the adjacency matrix A of G. Then, by considering convergent series of Hadamard powers of the idempotents of the unique complete system of orthogonal idempotents of V, we establish new feasibility conditions for the existence of strongly regular graphs.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01T00:00:00Z
2011
2012-02-22T13:00:02Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/6757
url http://hdl.handle.net/10773/6757
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1571-0653
10.1016/j.endm.2011.10.002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
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